A Note on (i,j)-πgβ Closed Sets in Intuitionistic Fuzzy Bitopological Spaces

摘要

In this paper we introduce the concept of (i,j)-πgβ-closed set in intuitionistic fuzzy bitopological spaces as a generalization of πgβ-closed set in fuzzy bitopological space and study their related notions in bitopological spaces. Next, we introduce (i,j)-πgβ-open sets in intuitionistic fuzzy bitopological spaces, and investigate some of their basic properties. Using these concepts, the characterizations for the intuitionistic fuzzy pairwise (i,j)-πgβ continuous mappings are obtained. The relationships between intuitionistic fuzzy pairwise (i,j)-πgβ continuous mappings are discussed. Finally, we prove the irresoluteness in (i,j)-πgβ intuitionistic fuzzy bitopological spaces.